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Finding the Fourth Proportional to 14,750.71, 22,130.16 and 6,431.45

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Solution

The fourth proportional to 14,750.71, 22,130.16 and 6,431.45 is: 9,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.71 : 22,130.16 = 6,431.45 : x
  2. Step 2: Convert to fraction form
    14,750.71/22,130.16 = 6,431.45/x
  3. Step 3: Cross multiply
    14,750.71x = 22,130.16 × 6,431.45
  4. Step 4: Simplify right side
    14,750.71x = 142,329,043.42
  5. Step 5: Solve for x
    x = 142,329,043.42/14,750.71
  6. Step 6: Final answer
    x = 9,648.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.